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Finding the Fourth Proportional to 636.68, 954.86 and 405.24

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Solution

The fourth proportional to 636.68, 954.86 and 405.24 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.68 : 954.86 = 405.24 : x
  2. Step 2: Convert to fraction form
    636.68/954.86 = 405.24/x
  3. Step 3: Cross multiply
    636.68x = 954.86 × 405.24
  4. Step 4: Simplify right side
    636.68x = 386,947.47
  5. Step 5: Solve for x
    x = 386,947.47/636.68
  6. Step 6: Final answer
    x = 607.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.